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Finding the Fourth Proportional to 541.97, 816.96 and 495.84

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Solution

The fourth proportional to 541.97, 816.96 and 495.84 is: 747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.97 : 816.96 = 495.84 : x
  2. Step 2: Convert to fraction form
    541.97/816.96 = 495.84/x
  3. Step 3: Cross multiply
    541.97x = 816.96 × 495.84
  4. Step 4: Simplify right side
    541.97x = 405,081.45
  5. Step 5: Solve for x
    x = 405,081.45/541.97
  6. Step 6: Final answer
    x = 747.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.